We're dividing 665103 by 87 
We want to divide 665103 by 87.

Moving on to step 1:
If we divide 6 by 87, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 87

On to step 2:
66 divided by 87 is 0 with a remainder of 66.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 66 and we're left with 66.
Bring next digit (5) of the dividend behind the 66 and repeat the process: 665 / 87

Going ahead to step 3:
The number 87 fits into 665 7 times, leaving a remainder of 56.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 609 from 665 to get 56.
Grab the next digit (1) from the dividend, add it to 56, then carry on: 561 / 87

Moving on to step 4:
When dividing 561 by 87, we get 6 with a remainder of 39.
The number 6 becomes the next digit in our result. 
Result so far: 76.0
Subtracting 522 from 561 leaves us with 39.
Append the next digit (0) from the dividend to 39 and continue with: 390 / 87

Advancing to step 5:
87 goes into 390 4 times with a remainder of 42.
Record the quotient 4 as the next digit in the result. 
Result so far: 764.0
If we take 348 away from 390, we end up with 42.
Grab the next digit (3) from the dividend, add it to 42, then carry on: 423 / 87

Let's proceed to step 6:
When dividing 423 by 87, we get 4 with a remainder of 75.
Use 4 as the next digit of our solution. 
Result so far: 7644.0
The remainder is 75 after subtracting 348 from 423.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 7:
The number 87 fits into 750 8 times, leaving a remainder of 54.
The number 8 becomes the next digit in our result. 
Result so far: 7644.8
If we take 696 away from 750, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 8:
540 divided by 87 is 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 7644.86
The remainder is 18 after subtracting 522 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
87 can be fit into 180 2 times, resulting in a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 7644.862
Subtract 174 from 180 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
60 divided by 87 is 0 with a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 7644.862
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 11:
If we divide 600 by 87, we get 6 and a remainder of 78.
The next digit of our result is 6. 
Result so far: 7644.86206
Deduct 522 from 600 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 12:
If we divide 780 by 87, we get 8 and a remainder of 84.
The number 8 becomes the next digit in our result. 
Result so far: 7644.862068
The remainder is 84 after subtracting 696 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Moving on to step 13:
87 can be fit into 840 9 times, resulting in a remainder of 57.
Use 9 as the next digit of our solution. 
Result so far: 7644.8620689
The remainder is 57 after subtracting 783 from 840.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 14:
The number 87 fits into 570 6 times, leaving a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 7644.86206896
Deduct 522 from 570 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The final result is 7644.86206896 with a remainder of 4.8e-08.